The position vectors particle has length 1m and makes `30^(@)` with the x-axis. What are the lengths of the x and y components of the position vector?

Explanation

Length of position vector =OA=1 m=l
x= component of length `l_x=?`
y= component `l_y=?`
`cos 30^(@)= (l_x)/(l)= (l_x)/(1) = l_x`
`:.l_x= cos 30^(@)= (sqrt(3))/(2)`
`sin 30^(@) = (l_x)/(l)=l_y`
`:.l_y = sin 30^(@) = (1)/(2)`
`l_x= (sqrt(3))/(2), l_y= (1)/(2)`.